A large koi pond is filled from a garden hose at the rate of 15 gal/min. Initially, the pond contains 500 gal of water. (a) Find a linear function V that models the volume of water in the pond at any time t. V(t) 500 + 15t (b) If the pond has a capacity of 1835 gal, how long does it take to completely fill the pond? 133.5 min

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.5: Linear Functions And Models
Problem 41E
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A large koi pond is filled from a garden hose at the rate of 15 gal/min. Initially, the pond contains 500 gal of water.
(a) Find a linear function V that models the volume of water in the pond at any time t.
V(t)
500 + 15t
(b) If the pond has a capacity of 1835 gal, how long does it take to completely fill the pond?
133.5
min
Transcribed Image Text:A large koi pond is filled from a garden hose at the rate of 15 gal/min. Initially, the pond contains 500 gal of water. (a) Find a linear function V that models the volume of water in the pond at any time t. V(t) 500 + 15t (b) If the pond has a capacity of 1835 gal, how long does it take to completely fill the pond? 133.5 min
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